PPT-3D shapes CUBE It has 6 square faces, 8 vertices and 12 edges.

CUBOID It has 4 rectangular faces 2 square faces 8 vertices and 12 edges TRIANGULAR PRISM It has 3 rectangular faces 2 triangular faces 6 vertices and 9 edges HEXAGONAL PIRAMID It has 6 triangular faces 1 face hexagonal 7 vertices and 12 edges. Fixed distance from a line Equidistant from 2 points Equidistant 2 parallel lines Equidistant from 2 intersecting lines Polygon InteriorExterior Angles Sum of int angles 180 2 Each int angle regular 180 2 Sum of ext angles 360 Each ext angle regu th. Dimension – and beyond!. The Power and Beauty of Geometry. Carlo. . Heinrich. . Séquin. University of California, Berkeley. Basel, Switzerland. Math Institute, dating back to 15. th. century. 9x(Large(x)^Tet(x)^8y((Cube(y)^Small(y))!BackOf(y,x)))2 e (Large(e)^Tet(e)^8y((Cube(y)^Small(y))!BackOf(y,e)))3 Large(e)^Elim:24 Tet(e)^Elim:25 8y((Cube(y)^Small(y))!BackOf(y,e)))^Elim:26 f Cube(f)^Sm Glasses not required!. Polyhedra. !. A polyhedron is a 3-dimensional, closed object whose surface is made up of polygons.. Common examples: cubes and pyramids. Are these . polyhedra. ?. Things We Can Count . St Paul’s Geometry Masterclass I. Who are we?. Mairi Walker. Final year maths PhD student at The Open University. Studying links between geometry and numbers. A. lso interested in the history of maths. I can name three-dimensional figures. Vocabulary. polyhedron cylinder. face pyramid. edge cone. vertex sphere. prism. base. A . polyhedron. is a three-dimensional object with flat surfaces, called . (b)(Ex10.7)1 8x:(Cube(x)^Large(x))$:9x(Cube(x)^Large(x))3 Tet(c)!:Cube(c)4 Tet(c)5 8x:(Cube(x)^Large(x))Theargumenthasthetruth-functionalform:1 A!(B!C)2 D$:A3 E!:B4 E5 DThisisnottautologicallyvalid:by 5. 7. 2. 1. Whiteboardmaths.com. Purchases. Making Purchases. Special Offer. : Every time you buy 4 or more presentations (in a single basket) the cheapest will be free. Buy 8 .  get 2 free, buy 12  get 3 free etc. You will be able to monitor the discount as you place the presentations in your basket. Your purchased . Using graph theory to solve games and problems. Dr. Carrie Wright. University of Arizona. Teacher’s Circle. November 17, 2011. BRIDGES OF KONIGSBERG. In Konigsberg, East Prussia, a river runs through the city such that in its center is an island, and after passing the island, the river broke into two parts. Seven bridges were built so that the people of the city could get from one part to another. . Three dimensional (3D) shapes are defined by the number of . faces, edges. and . vertices. (corners) that they have.. VERTEX (plural is vertices). EDGE. TETRAHEDRON. FACE. +. Addition. LS – To identify properties of 3D Shape.. To solve addition calculations involving the properties of 3D shape.. Key Vocabulary I need to know – . Faces. LG: To make models of three dimensional shapes and describe their key features. . © Auburn Primary School adapted from Lane Clark. Watch the . videos below on . 2D and 3D shapes and faces, vertices and edges.. Don delivers pint bottles of milk to two streets. For the first street of 10. houses, the mean number of bottles of milk he delivers is 3.1.. For the second street of six houses, the mean number of bottles he delivers is. Solid. Convex. Concave. Regular. Cylinder. Prism. Cone. Pyramid. Sphere. Polyhedron: . a solid figure with many plane . faces. Solid: a 3-D shape that encloses space but is not made up of all polygon sides..